Where Should I Begin with Learning Calculus at Home?

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Discussion Overview

The discussion centers around the initial steps for learning calculus at home, including the selection of resources and foundational knowledge needed before diving into calculus concepts. Participants share their experiences with specific books and their preferences for learning methods.

Discussion Character

  • Exploratory
  • Homework-related

Main Points Raised

  • One participant is seeking advice on whether to revisit foundational concepts like functions before starting calculus, expressing uncertainty about their prior knowledge.
  • Another participant inquires about the effectiveness of the book "Calculus Made Easy" by Thompson, indicating interest in personal experiences with the text.
  • A participant expresses a preference for traditional problem-solving methods using paper and pencil, suggesting that this approach enhances understanding of calculus concepts.
  • There is a mention of the clarity of the book's explanations, particularly regarding functions, with one participant noting a regret for not having focused on functions earlier.
  • Some participants are looking for additional book recommendations similar to Thompson's work.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best starting point for learning calculus, as opinions vary on the importance of reviewing functions and the effectiveness of different learning resources.

Contextual Notes

Participants express varying levels of familiarity with calculus and foundational mathematics, indicating that assumptions about prior knowledge may differ. There is also a reliance on personal experiences with specific texts, which may not apply universally.

Who May Find This Useful

Individuals beginning their study of calculus, those seeking recommendations for learning materials, and learners interested in traditional versus modern approaches to mathematics may find this discussion relevant.

The_Z_Factor
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Im just starting to study calculus at home myself, and I am trying to figure out where to start. I've got a few books, which are Calculus Made Easy by Thompson, and Forgotten Calculus Bleau, under Barron's. Should I start from the very beginning and just go over functions again like back in freshman year or should I study any other types of math? I've never really done calculus so I don't know all that's involved besides functions. Does anybody have any advice to give on this?
 
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how do you like thompson?
 
Well I don't know much at all about calculus but I think this book is what I am looking for. I like doing the work on paper with a pencil...instead of using a computer or a calculator, despite the difficulty difference. I think it makes you think more and get a better grasp on the subject, and this book seems to cover 'traditional' rather than the I guess 'new' way of doing problems. So its good I guess..Do you know of any other good books like Thompsons?
 
mathwonk said:
how do you like thompson?

And, actually, this book is very clear on what I am trying to figure out. Last year I forgot functions, not knowing that Id be using them later in calculus (and I regret blowing them off like I did), and no books I've read up until now were so clear as these first few pages. I remember everything already. Although, however, Thompson didnt write the functions part, but Gardner did a great job explaining. I am reading it now and its already more interesting than any other book I've read so far, so hopefully this book works out for me.
 

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